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Finding the Third Proportional to 376,492 and 826,712

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Solution

The third proportional to 376,492 and 826,712 is: 1,815,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,492 : 826,712 = 826,712 : x
  2. Step 2: Convert to fraction form
    376,492/826,712 = 826,712/x
  3. Step 3: Cross multiply
    376,492x = 826,712 × 826,712
  4. Step 4: Simplify right side
    376,492x = 683,452,730,944
  5. Step 5: Solve for x
    x = 683,452,730,944/376,492
  6. Step 6: Final answer
    x = 1,815,318.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.